Finding the Third Proportional to 47,214 and 98,280
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Solution
The third proportional to 47,214 and 98,280 is: 204,578.27
Step by Step Solution
- Step 1: Write the proportion equation
47,214 : 98,280 = 98,280 : x - Step 2: Convert to fraction form
47,214/98,280 = 98,280/x - Step 3: Cross multiply
47,214x = 98,280 × 98,280 - Step 4: Simplify right side
47,214x = 9,658,958,400 - Step 5: Solve for x
x = 9,658,958,400/47,214 - Step 6: Final answer
x = 204,578.27
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.